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Finding the Fourth Proportional to 2,865.78, 4,298.80 and 785.74

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Solution

The fourth proportional to 2,865.78, 4,298.80 and 785.74 is: 1,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.78 : 4,298.80 = 785.74 : x
  2. Step 2: Convert to fraction form
    2,865.78/4,298.80 = 785.74/x
  3. Step 3: Cross multiply
    2,865.78x = 4,298.80 × 785.74
  4. Step 4: Simplify right side
    2,865.78x = 3,377,739.11
  5. Step 5: Solve for x
    x = 3,377,739.11/2,865.78
  6. Step 6: Final answer
    x = 1,178.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.